Characterization of quasi-Banach spaces which coarsely embed into a Hilbert space期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

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Characterization of quasi-Banach spaces which coarsely embed into a Hilbert space

Authors:	N Lovasoa Randrianarivony

Institution:	Department of Mathematics, Texas A&M University, College Station, Texas 77843

Abstract:	We show that a quasi-Banach space coarsely embeds into a Hilbert space if and only if it is isomorphic to a linear subspace of $L_0(\mu)$ for some probability space $(\Omega, \mathcal{B}, \mu)$ .

Keywords:	Coarse embedding uniform embedding

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